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Finding the Fourth Proportional to 492.76, 680.01 and 296.27

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Solution

The fourth proportional to 492.76, 680.01 and 296.27 is: 408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 680.01 = 296.27 : x
  2. Step 2: Convert to fraction form
    492.76/680.01 = 296.27/x
  3. Step 3: Cross multiply
    492.76x = 680.01 × 296.27
  4. Step 4: Simplify right side
    492.76x = 201,461.68
  5. Step 5: Solve for x
    x = 201,461.68/492.76
  6. Step 6: Final answer
    x = 408.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.